Superspace calculation of the four-loop spectrum in N=6 supersymmetric Chern-Simons theories

M. Leoni...[et al.], A. Mauri, J. A. Minahan, Christoph Sieg

40 Citations (Scopus)

Abstract

Using N = 2 superspace techniques we compute the four-loop spectrum of single trace operators in the SU(2) × SU(2) sector of ABJM and ABJ supersymmetric Chern-Simons theories. Our computation yields a four-loop contribution to the function h2(λ) (and its ABJ generalization) in the magnon dispersion relation which has fixed maximum transcendentality and coincides with the findings in components given in the revised versions of arXiv: 0908.2463 and arXiv: 0912.3460. We also discuss possible scenarios for an all-loop function h2(X) that interpolates between weak and strong couplings.

Original languageEnglish
JournalJournal of High Energy Physics (Online)
Volume2010
Issue number12
Pages (from-to)074, 1-36
Number of pages36
ISSN1126-6708
DOIs
Publication statusPublished - 1 Dec 2010

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